Tempered reductive homogeneous spaces

Benoist, Yves, and Kobayashi, Toshiyuki. "Tempered reductive homogeneous spaces." Journal of the European Mathematical Society 017.12 (2015): 3015-3036. <http://eudml.org/doc/277770>.

@article{Benoist2015,
abstract = {Let $G$ be a semisimple algebraic Lie group and $H$ a reductive subgroup. We find geometrically the best even integer $p$ for which the representation of $G$ in $L^2(G/H)$ is almost $L^p$. As an application, we give a criterion which detects whether this representation is tempered.},
author = {Benoist, Yves, Kobayashi, Toshiyuki},
journal = {Journal of the European Mathematical Society},
keywords = {Lie groups; homogeneous spaces; tempered representations; matrix coefficients; symmetric spaces; Lie groups; homogeneous spaces; tempered representations; matrix coefficients; symmetric spaces},
language = {eng},
number = {12},
pages = {3015-3036},
publisher = {European Mathematical Society Publishing House},
title = {Tempered reductive homogeneous spaces},
url = {http://eudml.org/doc/277770},
volume = {017},
year = {2015},
}

TY - JOUR
AU - Benoist, Yves
AU - Kobayashi, Toshiyuki
TI - Tempered reductive homogeneous spaces
JO - Journal of the European Mathematical Society
PY - 2015
PB - European Mathematical Society Publishing House
VL - 017
IS - 12
SP - 3015
EP - 3036
AB - Let $G$ be a semisimple algebraic Lie group and $H$ a reductive subgroup. We find geometrically the best even integer $p$ for which the representation of $G$ in $L^2(G/H)$ is almost $L^p$. As an application, we give a criterion which detects whether this representation is tempered.
LA - eng
KW - Lie groups; homogeneous spaces; tempered representations; matrix coefficients; symmetric spaces; Lie groups; homogeneous spaces; tempered representations; matrix coefficients; symmetric spaces
UR - http://eudml.org/doc/277770
ER -